Altobene, Inc.’s  R&D department recentlyconducted a test of three different brake systems to determine ifthere is a difference in the average stopping distance among thedifferent systems.  In the test, 21 identical mid-sizedcars were obtained from one of the major domesticcarmakers.  Seven (7) cars were fitted with Brake A,seven (7) with Brake B, and seven (7) with Brake C. The number offeet required to bring the test cars to a full stop wasrecorded.
Which of the following is the appropriate null and alternativehypotheses about the stopping distance among the differentsystems?
H0: = =
HA: All of the population mean stopping distances are differentfrom each other
H0:= =
HA: At least one population mean stopping distances is differentfrom the others
H0:= =
HA: At least one population mean stopping distance is equal toanother population mean stopping distance
Ho:= =Â Â
Ha: Exactly one population mean stopping distance is greaterthan the other two population mean stopping distances
An ANOVA for the Stopping Distance Effect in Question 1 has beenconducted with the partial results shown in the table below.Complete the ANOVA table. Â
Source
Sum of Squares
Degrees of Freedom
Mean Square
F-Calculated
Between Groups (Brakes)
1314
Within Groups
XXXXXXXXXXXXX
Total
5299
20
What is the critical value of the test statistic for the brakestopping distance ANOVA if the hypothesis of interest is tested atthe α = 0.01 level of significance?
6.013                                                  b.              5.092
4.938                                                  d.              3.127
Based on the ANOVA analysis, what conclusion would you makeregarding the effect the braking system has on average stoppingdistance?
Reject HO, there is significant evidence to conclude there is abrake effect.
Do not reject HO, there is significant evidence to concludethere is a brake  effect.
Reject HO, there is insignificant evidence to conclude there isa brake effect.
Do not reject HO, there is insignificant evidence to concludethere is a brake effect.